When the speed of your car is doubled, by what factor does its kinetic energy increase?
Answer: 4
Explanation
Kinetic energy (KE) is given by the formula:
KE = ½ mv²
If speed is doubled (v → 2v), then:
KE' = ½ m (2v)² = ½ m × 4v² = 4 × KE
So, kinetic energy increases by a factor of 4.
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